一种新的Uzawa-MHSS迭代法求解一类复奇异鞍点问题  

A New Uzawa-MHSS Iterative Method for Solving a Class of Complex Singular Saddle-Point Problems

作　　者：熊劲松[1] 高兴宝[1] XIONG Jinsong GAO Xingbao(School of Mathematics and Information Sciences, Shaanzi Normal University, Xi ~ an 710119, China)

机构地区：[1]陕西师范大学数学与信息科学学院,西安710119

出　　处：《吉林大学学报（理学版）》2017年第1期22-28,共7页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11401469)

摘　　要：利用经典的Uzawa法和修正的Hermitian和Skew-Hermitian分裂(MHSS)迭代法,提出一种新的Uzawa-MHSS迭代法求解一类复奇异鞍点问题,得到了该方法的半收敛定理,并分析了其半收敛性.数值实验表明,新迭代方法比经典的Uzawa法和MHSS法在求解鞍点问题时更有效.Using the classical Uzawa method and modified Hermitian and Skew-Hermitian splitting （MHSS） iterative method, we proposed a new Uzawa-MHSS iterative method for solving a class of complex singular saddle-point problems. We obtained the semi-convergence theroem of the new method, and analyzed its semi-convergence. Numerical experiments show that the new iterative method is more effective than the classical Uzawa method and MHSS method to solve the saddle-point problems.

关 键 词：复奇异鞍点问题 Uzawa法 MHSS迭代法 半收敛性 

分 类 号：O241.6[理学—计算数学]